Quantitative Aptitude - Arithmetic Ability Questions

If cotA/√(1 + cot2A) = x, then the value of x is

If 2x-12x = 5, then what is the value x2 + 116x2 - 2

In a triangle PQR, S and T are the points on PQ and PR respectively, such that ST II QR and PS/SQ=3/5,PR =6cm, then PT is

Profit of Rs 936000 has to be divided among three partners Anirudhha, Balwant and Charudatta in the ratio 2:3:5. How much does Charudatta get?

5 year hence, ratio of ages of A and B will be 7 : 5 and difference between their ages will be 4 years. What are present ages (in years) of A and B
respectively?

According to the will, the wealth of Rs 11,50,000 was to be divided between the son and the daughter in the ratio 2/3 : 5/4. How much share did the son get (in Rs lakhs)?

The slopes of two lines are 1/√3 and √3. What is the angle between these two lines?

What is 0.53 + 0.53equal to ?